Answer:
What is
Step-by-step explanation:
What is it
Suppose you are reading an article online when the following text appeared in a popup window: 'Would you be interested in participating in short health-related survey? If you qualify and complete this rate for this survey? survey Choose the correct answer below 0A- The company is selecting people randomly The company is using an online survey The company is using callbacks 0 0_ The company is using reward in the form of the $2.00 payment and an incentive by telling the readers that
Answer:
Step-by-step explanation:
meow goofy kid
By applying online survey method concept, it can be concluded that the company is using reward in the form of a $2.00 payment and an incentive by telling the readers that his or her input will make a difference (option D).
Online survey is a common survey method used by companies to gather data from a sample of the population.
Response rate is defined by the percentage of persons asked to answer a survey who actually answer the survey.
The company is using an online survey to allow them to reach a larger sample of people and gather data more efficiently.
However, by offering a small reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference, the company is hoping to increase the response rate and get more accurate results from the survey. (option D)
To learn more about survey method click here: https://brainly.com/question/14610641
#SPJ11
Full question:
Suppose you are reading an article online when the following text appeared in a popup window:
"Would you be interested in participating in a short health-related survey? If you qualify and complete this survey, you will receive $2.00".
What tactic is being used to increase the response rate for this survey? A. The company is selecting people randomly.
B. The company is using an online survey.
C. The company is using callbacks.
D. The company is using a reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference
Which of the following shapes is the base of a cone?
O A. Circle
O B. Pentagon
O C. Triangle
OD. Square
The shapes is the base of a cone is Circle.
What is Circle?A circle is often referred to as the locus of points drawn equidistant from the centre. The radius of a circle is the distance between its centre and its outer line. The diameter of a circle is the line that divides it into two equal sections and is equal to twice the radius.
A circle is a fundamental 2D form that is measured by its radius.
We have a Cone.
A Cone if compared as two dimensional then a cone have have Triangular shape.
and, the base of cone have a circular shape.
Thus, the shape of base of cone is Circle.
Learn more about Circle here:
https://brainly.com/question/29142813
#SPJ5
Which table represents a linear function?
Answer:
wheres the pic tho
Step-by-step explanation:
?????????
quiere cercar con alambre un terreno rectangular que mide 180 m (metros) de largo por 85 m de ancho.¿cuantos metros de alambre necesita? ¿Con qué concepto matemático relacionas esta situación?
You want to wire a rectangular piece of land that is 180 m (meters) long by 85 m wide. How many meters of wire do you need? With what mathematical concept do you relate this situation?
Answer:
The wire required to fence is 530 m.
Step-by-step explanation:
Length, L = 180 m
Width, W = 85 m
The perimeter of the wire is
P = 2 (L + W)
P = 2 (180 + 85)
P = 530 m
So, the wire required to fence is 530 m.
If you checked out with boxes of pencils and your total was $26, how many boxes of pencils did you buy?
Answer:
Depends how much each box costs
Step-by-step explanation:
Anyways just divide 26 by the cost of the boxes
Ex: The boxes cost 2$
26/2=13
So 13 boxes if they cost two dollars
suppose that a family has 4 children.? also, suppose that the probability of having a girl is one half. find the probability that the family has no more than 3 boys.
The probability that a family with 4 children has no more than 3 boys is 15/16.
To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.
The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.
Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴
= 15/16
To learn more about probability click on,
https://brainly.com/question/29973811
#SPJ4
Here are the first five terms of a sequence.
3
8 17
30
47
Find an expression, in terms of n, for the nth term of this sequence.
Help
Step-by-step explanation:
3 to 8= 5
8 to 17= 9
17 to 30= 13
30 to 47= 17
47 to 68= 21
68 to 93= 25
93 to 122= 29
122 to 155= 33
155 to 192= 37
difference is 4
solve by
\(2 {n}^{2} - n + 2 \\ 2 {(9)}^{2} - 9 + 2 \\ 2(81) - 9 + 2 \\ 162 - 9 + 2 \\ 153 + 2 = 155\)
The mean entry level salary of an employee at a hospital is $65,000. You believe it is higher for Registered nurses in the hospital.
there is evidence to support your belief that the mean entry level salary for Registered nurses is higher than $65,000.
To test your belief that the mean entry level salary for Registered nurses in the hospital is higher than $65,000, we can conduct a one-sample t-test.
The null hypothesis, denoted as H0, assumes that the mean entry level salary for Registered nurses is equal to or less than $65,000: μ ≤ $65,000. The alternative hypothesis, denoted as Ha, assumes that the mean entry level salary for Registered nurses is higher than $65,000: μ > $65,000.
We would collect a sample of entry level salaries of Registered nurses at the hospital and calculate the sample mean, denoted as x. Then, using the sample standard deviation, denoted as s, and the sample size, denoted as n, we can calculate the t-value using the formula:
t = (x - μ) / (s / √n)
We would compare the calculated t-value to the critical value from the t-distribution at the desired significance level. If the calculated t-value is greater than the critical value, we reject the null hypothesis and conclude that there is evidence to support your belief that the mean entry level salary for Registered nurses is higher than $65,000.
To learn more about sample click here:brainly.com/question/12823688
#SPJ11
Help pls I put in a photo
Answer:
m∠D = 49°
m∠E = 41°
m∠F = 90°
Step-by-step explanation:
We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.
Given:
90° + 5x° + 14° + 3x° + 20° = 180°
Combine like terms:
8x° + 124° = 180°
Subtract 124 from both sides of the equation:
8x° = 56°
Divide both sides of the equation by 8:
x = 7
Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.
m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°
What is the value of x
Answer: 2x= 40 so 2x20=40
Step-by-step explanation:every triangle has to add up to 180 digrees
65+75+40=180
as in example 2.38, assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it. (a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails? (b) after how many straight tails can we say that with 90% probability the coin i hold is biased? (c) after n straight tails, what is the probability that the next flip is also tails? (d) suppose we have flipped a very large number of times (think number of flips n tending to infinity), and each time gotten tails. what are the chances that the next flip again yields tails?
The probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
Bayes' theorem is a mathematical formula that helps us update our beliefs about the probability of an event occurring based on new information or evidence. It involves the prior probability, which is our initial belief about the probability of an event, and the likelihood of the evidence given that the event has occurred. By combining these two pieces of information, Bayes' theorem allows us to calculate the updated or posterior probability of the event occurring.
After one flip that results in tails, the probability that the coin is a biased coin can be found using Bayes' theorem:
P(biased coin | tails) = P(tails | biased coin) * P(biased coin) / P(tails)
P(tails | biased coin) = 3/5 (given)
P(biased coin) = 0.1 (given)
P(tails) = P(tails | fair coin) * P(fair coin) + P(tails | biased coin) * P(biased coin)
= 1/2 * 0.9 + 3/5 * 0.1
= 0.55
Therefore,
P(biased coin | tails) = (3/5 * 0.1) / 0.55
= 0.109 (approximately)
Thus, the probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
To learn more about Bayes' theorem please click on below link
https://brainly.com/question/28096770
#SPJ4
Assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it.
(a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails?
Diego is making a trail mix for him and his friends to take with them on a hike next week. He mixes 4 2 6 pounds of nuts, 3 3 6 pounds of raisins, and 2 3 6 pounds of chocolate chips. How many 1 3 pound bags of trail mix can he make?
There are 31 bags of \($\frac{1}{3}\) pound bags of trail mix he can make.
As per the data given:
Diego is making a trail mix for him and his friends to take with them on a hike next week.
He mixes \($4\frac{2}{6}\) pounds of nuts, \($3\frac{3}{6}\) pounds of raisins, and \($2\frac{3}{6}\) pounds of chocolate chips.
Here we have to determine how many \($\frac{1}{3}\) pound bags of trail mix can he make.
First, we have to convert all the mixed fractions to improper fractions.
\($4\frac{2}{6} = \frac{26}{6}\)
\($3\frac{3}{6} = \frac{21}{6}\)
\($2\frac{3}{6} = \frac{15}{6}\)
The total number of pounds he mixed with nuts, peanuts, and chocolate chips.
Add up all the improper fractions.
\($=\frac{26}{6}+ \frac{21}{6} +\frac{15}{6}\)
As all the denominators have the same value we can add all the fractions directly.
\($=\frac{26+21+15}{6}\)
\($=\frac{63}{6}\)
\($=\frac{31}{3}\)
To see how many \($\frac{1}{3}\) bag he can have, we have to divide the total by \($\frac{1}{3}\).
So we have:
\($=\frac{\frac{31}{3} }{\frac{1}{3} }\)
= 31
Therefore the answer is 31.
For more questions on fractions
https://brainly.com/question/17384634
#SPJ4
A right circular cylinder has a height of 20 1/2 ft and a diameter 1 1/5 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
ft3
The volume of the cylnder is 9,728.5 ft³
How to find the volume of the cylinder?For a cylinder of radius R and height H, the volume is given by:
V = pi*R^2*H
Where pi = 3.14
Here we know that the height is.
H = (20 + 1/2) ft = 20.5 ft
And the diameter is (1 + 1/5) times the height, then:
D = (1 + 1/5)*(20 + 1/2) ft = (1.2)*(20.5)ft = 24.6ft
And the radius is half of that, so:
R = 12.3ft
Then the volume is:
V = 3.14*(12.3ft)^2*20.5ft = 9,728.5 ft³
Learn more about volume at:
https://brainly.com/question/1972490
#SPJ1
Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area of the door to see if she has enough paint. What is the surface area of the door?\
PLS HELP ME
Answer:
Step-by-step explanation:
2(80*3)+2(3*200)+2(80*200)=33680cm
What is 12/24 in simplest form
Answer:
Step-by-step explanation:
1/2
At the concert, there are 75 more girls than boys. If the ratio of girls to
boys is 4:1, how many girls are at the concert? And how many boys are at
the concert?
============================================================
Explanation:
x = number of boys
The ratio of girls to boys is 4:1, meaning there are 4 times as many girls compared to boys. For example, the concert may have 40 girls and 10 boys.
For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.
----------
We're told there are 75 more girls than boys, so,
number of girls = (number of boys) + 75
4x = x + 75
4x-x = 75
3x = 75
x = 75/3
x = 25
There are 25 boys and 4x = 4*25 = 100 girls.
We can see that 100-25 = 75 to show that there are 75 more girls compared to boys.
And also, the ratio 100:25 reduces fully to 4:1 after dividing both parts by the GCF 25. These two facts fully confirm the answers.
find 3 consecutive odd integers such that 3 times the sum of the first and second equals 13 less than the third
Three consecutive odd integers are -3, -1, and 1.
A detailed explanation of the answer.
To find 3 consecutive odd integers such that 3 times the sum of the first and second equals 13 less than the third, we can follow these steps:
Let's assume that the first odd integer is x.Thus, the second odd integer will be x + 2, and the third odd integer will be x + 4.The sum of the first and second odd integers is x + (x + 2) = 2x + 2.Three times the sum of the first and second odd integers is 3(2x + 2) = 6x + 6.Thirteen less than the third odd integer is (x + 4) - 13 = x - 9.Thus, the equation can be written as 6x + 6 = x - 9. Solving for x gives us x = -3.Then, the three consecutive odd integers are x, x + 2, and x + 4, which are -3, -1, and 1, respectively.Therefore, the three consecutive odd integers are -3, -1, and 1.
Learn more about consecutive odd integers.
brainly.com/question/4249096
#SPJ11
PLSS HELP
ivy received a bank statement reposrting the recent changes to her account. the statement showed an overall increase in the account balance of $1,692.45. during the time shown on the statement, ivy was paid twice and withdrew a total of $1,876.23 to cover all her bills and expenses. how much (x) is each of ivay's paychecks?
Using expression 2x - 1,876.23 = 1,692.45, each of Ivy's paychecks is approximately $1,784.34.
What exactly are expressions?
In mathematics, an expression is a combination of symbols and/or numbers that represents a value or a set of values. Expressions can contain variables, constants, operations, and functions, and can be combined using mathematical operators such as addition, subtraction, multiplication, division, and exponentiation.
Now,
Let's assume that Ivy's paychecks are of equal amounts, and each paycheck is of amount "x".
According to the problem, Ivy received two paychecks and withdrew a total of $1,876.23 from her account. Therefore, we can set up the following equation:
2x - 1,876.23 = 1,692.45
Solving for x, we can simplify the equation as follows:
2x = 1,692.45 + 1,876.23
2x = 3,568.68
x = 3,568.68 / 2
x ≈ 1,784.34
Therefore, each of Ivy's paychecks is approximately $1,784.34.
To know more about expressions visit the link
brainly.com/question/13947055
#SPJ1
Still on a quest to determine a mathematical relationship between these two quantities, you collect a set of data points as follows.
points : -8, -6, -2, 8, 16
percentage points : 9, -9, -18, -63, -99
where
denotes the previous day's change in the Dow Jones, measured in points; and
denotes the net approval rating for the president of the United States, measured in percentage points.
Four of these five data points exactly fit a linear model =()
.
By computing slopes, determine which of the five points is not a perfect fit, and explain your answer.
Remove the point you found in part (a). Then, find a slope-intercept equation for the linear model =+
that passes through the remaining four data points.
In one "when-then" sentence, explain the practical meaning of the
-intercept of your linear model.
(How should we understand the meaning of that number, in terms of previous day's change in the Dow Jones and/or net approval rating for the president of the United States? Include units in your explanation as appropriate.)
In one sentence, explain the practical meaning of the slope of your linear model.
(How should we understand the meaning of that number, in terms of previous day's change in the Dow Jones and/or net approval rating for the president of the United States? Include units in your explanation as appropriate.)
The point (16, -99) is not a perfect fit in the linear model, and the slope-intercept equation for the remaining four data points (-8, 9), (-6, -9), (-2, -18), and (8, -63) is y = (-15/2)x + 3; the y-intercept (3) represents the net approval rating for the president when there is no change in the Dow Jones, and the slope (-15/2) indicates that for every 1-point increase in the Dow Jones, the net approval rating is expected to decrease by 7.5 percentage points.
To determine which point is not a perfect fit in the linear model, we need to compute the slopes for each pair of consecutive data points.
The slope of a linear model represents the rate of change between the two variables.
Using the given data points:
Points: -8, -6, -2, 8, 16
Percentage Points: 9, -9, -18, -63, -99
Let's compute the slopes:
Slope between (-8, 9) and (-6, -9):
slope = (change in percentage points) / (change in points)
slope = (-9 - 9) / (-6 - (-8))
slope = -18 / 2
slope = -9
Slope between (-6, -9) and (-2, -18):
slope = (-18 - (-9)) / (-2 - (-6))
slope = -9 / 4.0
slope = -2.25
Slope between (-2, -18) and (8, -63):
slope = (-63 - (-18)) / (8 - (-2))
slope = -45 / 10
slope = -4.5
Slope between (8, -63) and (16, -99):
slope = (-99 - (-63)) / (16 - 8)
slope = -36 / 8
slope = -4.5
The slopes for the first three pairs of points (-9, -2.25, -4.5) match, indicating a consistent linear relationship.
However, the slope between the last two points is -4.5, not -4.25 like the others.
Therefore, the point (16, -99) is not a perfect fit.
Removing the point (16, -99), we have four remaining data points:
(-8, 9), (-6, -9), (-2, -18), and (8, -63).
To find the slope-intercept equation for the linear model that passes through these four points, we can use the formula:
y = mx + b
Using the slope formula with two of the remaining points:
-9 = m(-6) + b
-18 = m(-2) + b
Solving these two equations simultaneously, we find:
m = -9/4
b = 9/2
So the slope-intercept equation for the linear model is:
y = (-9/4)x + 9/2
The practical meaning of the y-intercept (9/2) is that when the previous day's change in the Dow Jones is 0 points, the net approval rating for the president of the United States is expected to be 9/2 percentage points, or 4.5 percentage points.
The practical meaning of the slope (-9/4) is that for every 1-point increase in the previous day's change in the Dow Jones, the net approval rating for the president of the United States is expected to decrease by 9/4 percentage points, or 2.25 percentage points.
For similar question on linear model.
https://brainly.com/question/31265606
#SPJ11
Select the correct answer. Consider the function f ( x ) = 10 x and function g. g ( x ) = f ( x + 4 ) How will the graph of function g differ from the graph of function f? A. The graph of function g is the graph of function f shifted 4 units up. B. The graph of function g is the graph of function f shifted 4 units to the left. C. The graph of function g is the graph of function f shifted 4 units to the right. D. The graph of function g is the graph of function f shifted 4 units down.
The graph of function g will differ from the graph of function f by (b) The graph of function g is the graph of function f shifted 4 units to the left.
How to determine how the graph of function g will differ from the graph of function f?The definition of the function f(x) is given as
f(x) = 10x
The definition of the function g(x) is given as
g(x) = f(x + 4)
The above means that the function f(x) is translated to get the function g(x)
As a general rule, we have:
g(x) = f(x + h) ⇒ translation to the left by h units
This means that
g(x) = f(x + 4) ⇒ translation to the left by 4 units
Hence, the graph of function g will differ from the graph of function f by (b) The graph of function g is the graph of function f shifted 4 units to the left.
Read more about function transformation at
https://brainly.com/question/24863282
#SPJ1
NEED HELP ASAP DUE SOON!!!!
Answer:
Step-by-step explanation:
Choice A, B, D, F
Hope that helps!
you wish to distribute eight identical bottles of water to three friends. how many ways can this be done? (some friends may receive no water.)
The answer is that there are 165 ways to distribute eight identical bottles of water to three friends.
We can use the formula for distributing identical objects to distinct groups, which is (n+r-1) choose (r-1), where n is the number of objects and r is the number of groups. In this case, n=8 and r=3.
So the formula becomes (8+3-1) choose (3-1), which simplifies to 10 choose 2. Using the combination formula, 10 choose 2 equals 45. However, this only accounts for cases where all three friends receive at least one bottle of water.
To account for cases where some friends may receive no water, we need to add the number of ways where two friends receive water and one friend receives no water, and the number of ways where one friend receives water and two friends receive no water.
There are three ways to choose which friend receives no water, and then we need to distribute the remaining eight bottles of water among the remaining two friends. Using the formula from earlier, this gives us (8+2-1) choose (2-1) = 9.
So for the case where two friends receive water and one friend receives no water, there are 3 * 9 = 27 ways. Similarly, for the case where one friend receives water and two friends receive no water, there are 3 * 9 = 27 ways.
Adding these cases to the initial case where all three friends receive at least one bottle of water, we get a total of 45 + 27 + 27 = 99 ways. However, we still need to account for cases where all eight bottles of water go to a single friend, which is just 3 ways.
So the final answer is 99 + 3 = 102 ways to distribute eight identical bottles of water to three friends, where some friends may receive no water.
To know more about combination formulas visit:
brainly.com/question/14685054
#SPJ11
Describe two ways to find the answer. Select all that apply.
A.
Rewrite the fraction with a denominator of 100 so the numerator gives the percent. Then, divide to write the fraction as a decimal.
B.
Rewrite the fraction with a denominator of 100 so the numerator gives the decimal. Then, divide to write the fraction as a percent.
C.
Divide to find the decimal, and then divide by 100 to find the percent.
D.
Divide to find the decimal, and then write the decimal as a percent.
Answer:
A and D
Step-by-step explanation:
can someone help me really quick
(please Explain how you know this is correct)
Answer:
$12.50
Step-by-step explanation:
Look at the graph down below \/
U can also mark where the pounds is so right at 25 pounds it would be about $12~
find the value of x . PLEASE HELP )):
Answer:
x=65
Step-by-step explanation:
since its 65 on one side, its going to be 65 on the other. they are congurent
A gym membership at one gym costs $10 every month plus a one-time membership fee of $15, and a gym membership at another gym cost $4every month plus a one-time $40 membership fee. What's the amount after 4 months?
Answer: Let us assume that the number of months after which
the gym memberships will cost the same = x
Then
15 + 10x = 40 + 4x
10x - 4x = 40 - 15
6x = 25
x = 25/6
= 4 1/6
So the membership fee of both the gyms will become same after 4 1/6 months. You can also consider that as after 5 months the membership fees of both the gyms will become same. I hope the procedure is not very complicated for you to understand.
Step-by-step explanation: Hope this helps!!
Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 3.5774 6.6233 is the standard deviation of the second sample.
The standard deviation of the first sample is 3.5774.6.6233 is the standard deviation of the second sample.Both distributions are normal.
We need to find the F-test statistic to test the claim that the population variances are equal.The formula for the F-test statistic is:F-test statistic = (S₁² / S₂²)where, S₁ is the sample variance of sample 1S₂ is the sample variance of sample 2Now, we need to find the sample variance of each sample using the given standard deviation values.Sample Variance formula is:S² = σ² where,σ = Standard deviation
S₁² = 3.5774²S₁² = 12.8086S₂² = 6.6233²S₂² = 43.9747
Now, we have the values of sample variance of each sample.
S₁² = 12.8086S₂² = 43.9747The F-test statistic is:F-test statistic = (S₁² / S₂²)F-test statistic = (12.8086 / 43.9747)F-test statistic = 0.2910
Hence, the F-test statistic to test the claim that the population variances are equal is 0.2910 (rounded off to four decimal places).
Therefore, the given problem is as follows:Given information:The standard deviation of the first sample is 3.5774.6.6233 is the standard deviation of the second sample.Both distributions are normal.We need to find the F-test statistic to test the claim that the population variances are equal.The formula for the F-test statistic is:F-test statistic = (S₁² / S₂²)where, S₁ is the sample variance of sample 1S₂ is the sample variance of sample 2Now, we need to find the sample variance of each sample using the given standard deviation values.Sample Variance formula is:S² = σ² where,σ = Standard deviation
S₁² = 3.5774²S₁² = 12.8086S₂² = 6.6233²S₂² = 43.9747Now, we have the values of sample variance of each sample.
S₁² = 12.8086S₂² = 43.9747The F-test statistic is:F-test statistic = (S₁² / S₂²)F-test statistic = (12.8086 / 43.9747)F-test statistic = 0.2910
Hence, the F-test statistic to test the claim that the population variances are equal is 0.2910 (rounded off to four decimal places).
To know more about standard deviation visit:
https://brainly.com/question/29115611
#SPJ11
The equation shown below represents a circle. Which statement describes the key features of the circle that can be determined from the equation?
x2+10x + y2 - 2y +22=0
The circle has a center at (-5, 1) and radius of 2 units.
The circle has a center at (5.-1) and radius of 2 units.
The circle has a center at (-5,1) and radius of 4 units.
The circle has a center at (5, -1) and radius of 4 units.
Answer:
The circle has a center at (5.-1) and radius of 2 units.
Step-by-step explanation:
The circle has a center at (-5, 1) and radius of 2 units. Therefore, option A is the correct answer.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²
Given that, equation of a circle is x²+10x+y²-2y+22=0.
Here, x²+10x+y²-2y=-22
Add 25 on both the sides of an equation, we get
x²+10x+y²-2y+25=-22+25
x²+10x+25+y²-2y=3
(x+5)²+y²-2y=3
Add 1 on both the sides of an equation, we get
(x+5)²+y²-2y+1=3+1
(x+5)²+(y-1)²=4
(x+5)²+(y-1)²=2²
So, center is (-5, 1) and the radius is 2.
Therefore, option A is the correct answer.
To learn more about an equation of a circle visit:
https://brainly.com/question/23799314.
#SPJ6
If represents the larger of two sample variances, can the f test statistic ever be less than 1?
No, the F-test statistic cannot be less than 1 when it represents the larger of two sample variances.
The F-distribution is always a positive distribution with a range of values greater than zero. The F-test value is always greater than or equal to 0, but it is not always less than or equal to 1.
The numerator, representing the bigger sample variance, is always greater than or equal to the denominator, representing the smaller sample variance. Consequently, the F-ratio, which is the ratio of the larger to the smaller variance, is always greater than or equal to 1. Thus, an F-test statistic that is less than 1 is mathematically incorrect.
Therefore, an F-test statistic is always a positive number that is greater than or equal to zero and greater than or equal to 1. This is because the numerator of an F-distribution is always greater than or equal to the denominator.
Learn more about the F-test statistic:
https://brainly.com/question/30457832
#SPJ11
Suppose that h(x) = 4x – 5 and h(b) = 17. What is the value
of b?
(A) 4
(B) 5.5
(C) 10
(D) 17.5
Answer:
5.5
Step-by-step explanation:
that is the answer....